Fait mathématique: 6736 is the number of 3×3 sliding puzzle positions that require exactly 17 moves to solve starting with the hole in the center.
Culture générale: 6736 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Date historique: June 10th is the day in 1886 that Mount Tarawera in New Zealand erupts, killing 153 people and destroying the famous Pink and White Terraces.